234676089648 has 480 divisors, whose sum is σ = 920586078720. Its totient is φ = 56265269760.

The previous prime is 234676089643. The next prime is 234676089649. The reversal of 234676089648 is 846980676432.

234676089648 is a `hidden beast` number, since 23 + 467 + 60 + 8 + 96 + 4 + 8 = 666.

234676089648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234676089648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (234676089643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2988261 + ... + 3065787.

It is an arithmetic number, because the mean of its divisors is an integer number (1917887664).

Almost surely, 2^234676089648 is an apocalyptic number.

234676089648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234676089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460293039360).

234676089648 is an abundant number, since it is smaller than the sum of its proper divisors (685909989072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234676089648 is a wasteful number, since it uses less digits than its factorization.

234676089648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77582 (or 77563 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 234676089648 in words is "two hundred thirty-four billion, six hundred seventy-six million, eighty-nine thousand, six hundred forty-eight".